Contact (+1)-surgeries along Legendrian Two-component Links
arXiv:1801.02180
Abstract
In this paper, we study contact surgeries along Legendrian links in the standard contact 3-sphere. On one hand, we use algebraic methods to prove the vanishing of the contact Ozsváth-Szabó invariant for contact -surgery along certain Legendrian two-component links. The main tool is a link surgery formula for Heegaard Floer homology developed by Manolescu and Ozsváth. On the other hand, we use contact-geometric argument to show the overtwistedness of the contact 3-manifolds obtained by contact -surgeries along Legendrian two-component links whose two components are linked in some special configurations.
25 pages, 15 figures. Final version, accepted for publication in Quantum Topology